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What are hidden pairs? (n/t)

 
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mschene
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PostPosted: Sun Aug 21, 2005 8:58 am    Post subject: What are hidden pairs? (n/t) Reply with quote

n/a
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someone_somewhere



Joined: 07 Aug 2005
Posts: 275
Location: Munich

PostPosted: Sun Aug 21, 2005 1:09 pm    Post subject: Reply with quote

This technique is known as "hidden pair" if two candidates are involved, "hidden triplet" if three, or "hidden quad" if four. It is sometimes also called "unique subset".
This technique is very similar to naked subsets, but instead of affecting other cells with the same row, column or block, candidates are eliminated from the cells that hold the subset. If there are N cells, with N candidates between them that don't appear elsewhere in the same row, column or block, then any other candidates for those cells can be eliminated.
For example, consider a block that has the following candidates:
{4, 5, 6, 9}, {4, 9}, {5, 6, 9}, {2, 4}, {1, 2, 3, 4, 7}, {1, 2, 3, 7}, {2, 5, 6}, {1, 2, 7}, {8}
(The single {8} indicates that this cell already holds the value 8.) You can see that there are only three cells that have any of the candidates 1, 3 or 7. (These cells have other candidates too, but they're the ones that we can eliminate.) Three candidates with only three possible cells between them means that one of the candidates must be in each of the cells. So, obviously, these three cells cannot hold any other value, meaning we can eliminate any other candidates for these cells.
In this example, we're left with:
{4, 5, 6, 9}, {4, 9}, {5, 6, 9}, {2, 4}, {1, 3, 7}, {1, 3, 7}, {2, 5, 6}, {1, 7}, {8}
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mschene
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PostPosted: Sun Aug 21, 2005 6:49 pm    Post subject: Thanks! Is there a really good FAQ on this teminology?(n/t) Reply with quote

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someone_somewhere



Joined: 07 Aug 2005
Posts: 275
Location: Munich

PostPosted: Sun Aug 21, 2005 7:52 pm    Post subject: about terminology - see attached link Reply with quote

about terminology, just take a look at:

http://www.simes.clara.co.uk/programs/sudokutechniques.htm

this is the best I found till now.
You you have something in addition, just let me know.

P.S. if you know japonezee, you will find for sure something better ;-)

see u,
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